{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# CENTRAL LIMIT THEOREM\n",
    "\n",
    "> Divyanshu | Oil & Gas Data Science/ML\n",
    "\n",
    "CLT states that if we take samples from a distribution with a sample size large enough, the mean of these samples will always follow a Normal Distribution No matter what the original Population Distribution was. "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import seaborn as sns\n",
    "import matplotlib.pyplot as plt"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "x = np.random.random_sample(2000)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "sns.distplot(x)\n",
    "\n",
    "plt.grid()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [],
   "source": [
    "y = []\n",
    "for i in range(len(x)):\n",
    "    \n",
    "    m = np.random.choice(x,50).mean()\n",
    "    \n",
    "    y.append(m)\n",
    "    \n",
    "y = np.array(y)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "sns.distplot(y)\n",
    "plt.grid()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 65,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1080x432 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig,ax = plt.subplots(nrows=1,ncols=2)\n",
    "fig.set_figheight(6)\n",
    "fig.set_figwidth(15)\n",
    "\n",
    "sns.distplot(x,ax=ax[0],color='darkorange');\n",
    "ax[0].grid();\n",
    "ax[0].set_title('\\n\\nA Random Distribution-X');\n",
    "\n",
    "sns.distplot(y,ax=ax[1],color='green');\n",
    "ax[1].grid();\n",
    "ax[1].set_title('\\n\\nDistribution of Sample Means (large sample size)- X(avg)');\n",
    "\n",
    "\n",
    "plt.suptitle('AN ILLUSTRATION ON THE CENTRAL LIMIT THEOREM WITH PYTHON.');\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.8.3"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 4
}
